Gnarly Buttons for clarinet and chamber ensemble (1996). John Adams

Although [it] isn’t atonal, it still manages to sound incoherent, and his borrowings from popular styles only make it sound twee.

She does speak positively of Philip Glass.

For myself, I never much liked the banjo in Gnarly Buttons although how many CD covers have a cow? William F Olive III on Amazon calls the piece "goofy."

I'll have to ponder if Adams' music tends toward "twee-ness." Eros Piano, a "gloss" on Toru Takemitsu, has some of that quality and is one of my least favorite Adams works; Grand Pianola Music is bombastic but yet still refined; El Dorado, Shaker Loops or maybe Harmonium are good representatives of the "non-twee."